Fight with a girlfriend

So..It is kinda difficult to explain the situation. Anyway, I study in a foregin country for two months. After a while I started to date a local girl. This girl is amazing, smart, beautiful and she also started her internship on a faculty. I completely fell in love with her character. So, after all this hanging we started relationship. After one week of 'official' relationship we went to club with a whole squad just to have a little bit of fun. What happened there? She went to smoking area and was there for a long time (at least I felt like she was a really long time there - I was drunk). So I went to that room and saw here with a hot guy in an intimate talk. I got really mad and jelaous. But I did not do anything. I went back to the dancing floor. On a dancing floor I was acutally able to see her through visible panel or something (Her shadow and guys shadow). They were very close and in a few moments she was turning around in the dance floor direction to see where am I (my conclusion). I got really mad because most of my friends left and I thought there was something between them. When she come back, she and her 'guy' seperated early and she was coming towards my direction smiling and telling me something. In that particular moment I felt like she turned back from me, like she is playing with me. So I pushed her away and she almost fell. She was shocked, and I was mad. I didnt want to talk to her. Next morning when I woke up I realized what have I done. It was completely my fault, she probably didnt do anything (Also that night after she told me that she is allways loyal to me). Now, she don't want to hear me anymore. She told me that I'm completely different pearson in here eyes and if I did such thing that time, what am I capable of when I'm more drunk or angry. I still feel so bad because I haven't had anyone I liked this much for almost 4 years. I Would give anything to have here back or atleast to have a private conversation with her. I dont want to be self pity in front of here because girls are always looking for a superior alpha man (I was that for whole time till that evening). But Its so hard to not be self pity and not to show how much sorry I am if I play hard or show my dating market value. Do you maybe have any adivice for me? How to get here back? Can she miss me at all in a week or two after we had a connection for only a month and a half? I'm a guy that will never repeat a mistake like that. And also I truly believe that we have to be together.
p.s. I also brought a large chocolate in her office for apologize.
Thank you in advence!!
Domagoj